非线性Schroedinger方程中stationary states的渐近局部化
Asymptotic localization of stationary states in the nonlinear Schroedinger equation
摘要：
利用具有随机势的非线性薛定谔方程在Fokker-Planck方程上的映射，计算了定态的定域长度。解析计算了随机势场中线性Schroedinger方程的波函数及其导数的矩的渐近增长率，并利用重均化法得到了非线性Schroedinger方程的相应增长率和定态的定域长度.
英文摘要：
The mapping of the Nonlinear Schroedinger Equation with a random potential on the Fokker-Planck equation is used to calculate the localization length of its stationary states. The asymptotic growth rates of the moments of the wave function and its derivative for the linear Schroedinger Equation in a random potential are computed analytically and resummation is used to obtain the corresponding growth rate for the nonlinear Schroedinger equation and the localization length of the stationary states.
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